Research interests

My research interests fall into the areas of history and philosophy of mathematics and science, epistemology, and cognitive science. In particular, I am interested in the developments in the 19th and early 20th century that led to the emergence of modern mathematics and logic, and in systematic investigations regarding axiomatics, the use of notation, analogical reasoning, concept formation, and theory development. I am also involved in editorial projects of the works of Pasch, Hilbert, Bernays, and Carnap, and a member of the McGill Research Group on History and Philosophy of Mathematics.

Recent news

  • The abstract of the poster presentation "How to find axioms for finite domains: A computational exploration of mathematical discovery" (with Gordon Krieger), has been published in Proceedings of the 41st Annual Conference of the Cognitive Science Society (July 2019).
  • My paper "Extended mathematical cognition: External representations with non-derived content" (with Karina Vold) has been published in a Special Issue of Synthese online (January 2019).
  • fig1 The proceedings of the CSHPM 2017 Meeting in Toronto, edited by Maria Zack and myself, have been published in the series Research in History and Philosophy of Mathematics. (September 2018).
  • My paper"The cultural challenge in mathematical cognition" (with Sieghard Beller, Andrea Bender, Stephen Chrisomalis, Fiona M. Jordan, Karenleigh A. Overmann, and Geoffrey B. Saxe) has been published in Journal of Numerical Cognition, 4(2): 448–463, September 2018.
  • On July 6–8, 2018 I co-organized a workshop with Marianna Antonutti Marfori on Proofs and Representations at the MCMP, LMU, Munich.
  • My paper "Numbers through numerals. The constitutive role of external representations" has been published in Sorin Bangu's collection Naturalizing Logico-Mathematical Knowledge: Approaches from Psychology and Cognitive Science, February 2018.
  • The proceedings of the CSHPM 2016 Meeting in Calgary, edited by Maria Zack and myself, have been published in the series Research in History and Philosophy of Mathematics. (January 2018).
  • My paper "Dedekind's abstract concepts: models and mappings" (with Wilfried Sieg) has finally appeared in print in Philosophia Mathematica, 25(3):292–317, October 2017. (It has been available online since September 2014.)
  • My short paper "On Dedekind's axiomatic approach to the foundations of mathematics" has been published in the proceedings of the "In Memoriam Richard Dedekind (1831–1916)" conference, held last year in Braunschweig (September 2017).
  • My paper "On Frege's Begriffsschrift notation for propositional logic: Design principles and trade-offs" has been published online in History and Philosophy of Logic (May 2017).
  • ... old news.